Question

Which measurement is closest to the length from The top of the kite to the bottom of the kite excluding the tail?

Answer 1

Concept

The angles between the two sides 2ft and 3ft is a right angle, hence we can apply the Pythagoras theorem to find the length of the longest diagonal.

Step 1: Name all the sides

Opposite = 2 ft

Adjacent = 3 ft

Hypotenuse = x ft

Step 2: Apply the Pythagoras theorem below to find x.

`\begin{gathered} \text{Opposite}^2+Adjacent^2=Hypotenuse^2 \\ 2^2+3^2=x^2 \\ 4+9=x^2 \\ 13=x^2 \\ F\text{ind the square root of both sides.} \\ \sqrt[]{13}\text{ = }\sqrt[]{x^2} \\ 3.6\text{ = x} \end{gathered}`

Step 3: Final answer

x = 4 is closest ( The answer can also be 3.6 )